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Finding the Fourth Proportional to 3,650.42, 5,475.72 and 1,053.56

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Solution

The fourth proportional to 3,650.42, 5,475.72 and 1,053.56 is: 1,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.42 : 5,475.72 = 1,053.56 : x
  2. Step 2: Convert to fraction form
    3,650.42/5,475.72 = 1,053.56/x
  3. Step 3: Cross multiply
    3,650.42x = 5,475.72 × 1,053.56
  4. Step 4: Simplify right side
    3,650.42x = 5,768,999.56
  5. Step 5: Solve for x
    x = 5,768,999.56/3,650.42
  6. Step 6: Final answer
    x = 1,580.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.